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What is the Least Common Multiple of 51482 and 51487?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 51482 and 51487 is 2650653734.

LCM(51482,51487) = 2650653734

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Least Common Multiple of 51482 and 51487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51482 and 51487, than apply into the LCM equation.

GCF(51482,51487) = 1
LCM(51482,51487) = ( 51482 × 51487) / 1
LCM(51482,51487) = 2650653734 / 1
LCM(51482,51487) = 2650653734

Least Common Multiple (LCM) of 51482 and 51487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51482 and 51487. First we will calculate the prime factors of 51482 and 51487.

Prime Factorization of 51482

Prime factors of 51482 are 2, 25741. Prime factorization of 51482 in exponential form is:

51482 = 21 × 257411

Prime Factorization of 51487

Prime factors of 51487 are 51487. Prime factorization of 51487 in exponential form is:

51487 = 514871

Now multiplying the highest exponent prime factors to calculate the LCM of 51482 and 51487.

LCM(51482,51487) = 21 × 257411 × 514871
LCM(51482,51487) = 2650653734